Is there a word for the phrase: "A Person Who Has Feelings For More Than One Person But Not Had With Them"?

...Or Hasn't Dated Them? I mean there is a Chinese (Cantonese) phrase for "Love Triangle" but that only involves 2 for 1 or 1 for 2...if you get what I mean...not more or less than that...and a term in Chinese (Cantonese) for "Fa Sum"...but I'm not quite sure if it means "Promiscuous" or "Polyamory" or what I'm trying to ask for the term in English...or is there even such a term for this description in English and/or in Chinese (Cantonese)?